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Consider a standard deck of 52 cards how many different four cars hands have no red cards?
26 of the 52 cards are black.
For each of those cards, the second card in your hand may not be the same card, but it may be any of the 25 remaining ones.
The third card, likewise, can not be the first two, but can be any of the 24 remaining.
For a four card hand that's 26 * 25 * 24 * 23 = 358800 possible hands
However, that number includes sets that are effectively duplicates (1,2,3,4 and 4,3,2,1 are both accounted for in that number, but for our purposes those are the same hand).
We can arrange each set of cards 4 * 3 * 2 * 1 = 24 ways. So to remove those possibilities we take 358800/24 = 14950 possible hands of all black cards.
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How many different hands of a 13-card might you have out of standard deck of 52 playing?
You can draw C(52,13) = 52! /13! 39! = 635 013559 600 different 13-card hands from a deck of 52 cards.
Five cards are drawn at from a standard deck of cards How many different hands consist of four queens and one king?
4. There are four ways to draw one king and only one way to draw 4 queens.
How many different 5-card hands with 3 red cards and 2 black cards can be made from a standard 52-card deck?
There are 26 red cards and 26 black cards. 3 red cards can be chosen in 26C3 ways 2 black cards can be chosen in 26C2 ways The required answer is 26C3 X 26C2 ways. Answer: 1067742 S Suneja
How many 5 card hands consisting of three of a kind can be drawn from a standard 52 card deck?
The number of 5-card hands consisting of three of a kind can be calculated by choosing the rank for the three cards (13 options) and any two other cards (44 options remaining). Therefore, the number of 5-card hands consisting of three of a kind is 13 * 44 = 572.
How is crossing over like shuffling a deck of cards?
Shuffling a deck of cards creates new combinations of hands . Unless you're playing dishonestly, all the cards in a game will be the same. Only after they're dealt will the hands be different. In genetics, crossing over creates new combinations of genes from a set of existing genes.
